Multidimensional histogram base.

Defines common functionality and interfaces for THn, THnSparse.

Definition at line 45 of file THnBase.h.

Public Member Functions
	~THnBase () override
	Destruct a THnBase.

void	Add (const TH1 *hist, Double_t c=1.)
	Fill the THnBase with the bins of hist that have content or error != 0.

void	Add (const THnBase *h, Double_t c=1.)
	Add contents of h scaled by c to this histogram: this = this + c * h Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set.

void	AddBinContent (const Int_t *x, Double_t v=1.)

virtual void	AddBinContent (Long64_t bin, Double_t v=1.)=0

virtual void	AddBinError2 (Long64_t bin, Double_t e2)=0

void	Browse (TBrowser *b) override
	Browse a THnSparse: create an entry (ROOT::THnSparseBrowsable) for each dimension.

void	CalculateErrors (Bool_t calc=kTRUE)
	Calculate errors (or not if "calc" == kFALSE)

Double_t	ComputeIntegral ()
	Compute integral (normalized cumulative sum of bins) w/o under/overflows The result is stored in fIntegral and used by the GetRandom functions.

virtual ROOT::Internal::THnBaseBinIter *	CreateIter (Bool_t respectAxisRange) const =0

void	Divide (const THnBase *h)
	Divide this histogram by h this = this/(h) Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set.

void	Divide (const THnBase h1, const THnBase h2, Double_t c1=1., Double_t c2=1., Option_t *option="")
	Replace contents of this histogram by multiplication of h1 by h2 this = (c1h1)/(c2h2) Note that if h1 or h2 have Sumw2 set, Sumw2 is automatically called for this if not already set.

Long64_t	Fill (const char *name[], Double_t w=1.)

Long64_t	Fill (const Double_t *x, Double_t w=1.)

template<typename... MoreTypes>
Long64_t	Fill (Double_t firstval, MoreTypes... morevals)
	Fill with the provided variadic arguments.

virtual void	FillBin (Long64_t bin, Double_t w)=0

TFitResultPtr	Fit (TF1 f1, Option_t option="", Option_t *goption="")
	Fit a THnSparse with function f.

TAxis *	GetAxis (Int_t dim) const

virtual Long64_t	GetBin (const char *name[]) const =0

virtual Long64_t	GetBin (const char *name[], Bool_t=kTRUE)=0

virtual Long64_t	GetBin (const Double_t *x) const =0

virtual Long64_t	GetBin (const Double_t *x, Bool_t=kTRUE)=0

virtual Long64_t	GetBin (const Int_t *idx) const =0

virtual Long64_t	GetBin (const Int_t *idx, Bool_t=kTRUE)=0

std::vector< Double_t >	GetBinCenter (const std::vector< Int_t > &idx) const
	THnBase::GetBinCenter.

Double_t	GetBinContent (const Int_t *idx) const

virtual Double_t	GetBinContent (Long64_t bin, Int_t *idx=nullptr) const =0

Double_t	GetBinError (const Int_t *idx) const

Double_t	GetBinError (Long64_t linidx) const

virtual Double_t	GetBinError2 (Long64_t linidx) const =0

Bool_t	GetCalculateErrors () const

Double_t	GetEntries () const

TObjArray *	GetListOfAxes ()

const TObjArray *	GetListOfAxes () const

TList *	GetListOfFunctions ()

virtual Long64_t	GetNbins () const =0

Int_t	GetNdimensions () const

void	GetRandom (Double_t *rand, Bool_t subBinRandom=kTRUE)
	Generate an n-dimensional random tuple based on the histogrammed distribution.

Double_t	GetSumw () const

Double_t	GetSumw2 () const

Double_t	GetSumwx (Int_t dim) const

Double_t	GetSumwx2 (Int_t dim) const

Double_t	GetWeightSum () const

Double_t	Integral (Bool_t respectAxisRange) const
	Compute integral (sum of counts) of histogram in all dimensions.

TClass *	IsA () const override

Bool_t	IsFolder () const override
	Returns kTRUE in case object contains browsable objects (like containers or lists of other objects).

Bool_t	IsInRange (Int_t *coord) const
	Check whether bin coord is in range, as defined by TAxis::SetRange().

Long64_t	Merge (TCollection *list)
	Merge this with a list of THnBase's.

void	Multiply (const THnBase *h)
	Multiply this histogram by histogram h this = this * h Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set.

void	Multiply (TF1 *f, Double_t c=1.)
	Performs the operation: this = thiscf1 if errors are defined, errors are also recalculated.

void	Print (Option_t *option="") const override
	Print a THnBase.

void	PrintBin (Int_t coord, Option_t options) const

void	PrintBin (Long64_t idx, Option_t *options) const
	Print bin with linex index "idx".

void	PrintEntries (Long64_t from=0, Long64_t howmany=-1, Option_t *options=nullptr) const
	Print "howmany" entries starting at "from".

TH3D *	Projection (Int_t xDim, Int_t yDim, Int_t zDim, Option_t *option="") const
	Project all bins into a 3-dimensional histogram, keeping only axes "xDim", "yDim", and "zDim".

TH1D *	Projection (Int_t xDim, Option_t *option="") const
	Project all bins into a 1-dimensional histogram, keeping only axis "xDim".

TH2D *	Projection (Int_t yDim, Int_t xDim, Option_t *option="") const
	Project all bins into a 2-dimensional histogram, keeping only axes "xDim" and "yDim".

THnBase *	ProjectionND (Int_t ndim, const Int_t dim, Option_t option="") const

void	RebinnedAdd (const THnBase *h, Double_t c=1.)
	Add contents of h scaled by c to this histogram: this = this + c * h Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set.

virtual void	Reset (Option_t *option="")=0

void	Scale (Double_t c)
	Scale contents and errors of this histogram by c: this = this * c It does not modify the histogram's number of entries.

void	SetBinContent (const Int_t *idx, Double_t v)

virtual void	SetBinContent (Long64_t bin, Double_t v)=0

void	SetBinEdges (Int_t idim, const Double_t *bins)
	Set the axis # of bins and bin limits on dimension idim.

void	SetBinError (const Int_t *idx, Double_t e)

void	SetBinError (Long64_t bin, Double_t e)

virtual void	SetBinError2 (Long64_t bin, Double_t e2)=0

void	SetEntries (Double_t entries)

void	SetTitle (const char *title) override
	Change (i.e.

void	Streamer (TBuffer &) override
	Stream an object of class TObject.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

virtual void	Sumw2 ()=0

Public Member Functions inherited from TNamed
	TNamed ()

	TNamed (const char name, const char title)

	TNamed (const TNamed &named)
	TNamed copy ctor.

	TNamed (const TString &name, const TString &title)

virtual	~TNamed ()
	TNamed destructor.

void	Clear (Option_t *option="") override
	Set name and title to empty strings ("").

TObject *	Clone (const char *newname="") const override
	Make a clone of an object using the Streamer facility.

Int_t	Compare (const TObject *obj) const override
	Compare two TNamed objects.

void	Copy (TObject &named) const override
	Copy this to obj.

virtual void	FillBuffer (char *&buffer)
	Encode TNamed into output buffer.

const char *	GetName () const override
	Returns name of object.

const char *	GetTitle () const override
	Returns title of object.

ULong_t	Hash () const override
	Return hash value for this object.

TClass *	IsA () const override

Bool_t	IsSortable () const override

void	ls (Option_t *option="") const override
	List TNamed name and title.

TNamed &	operator= (const TNamed &rhs)
	TNamed assignment operator.

void	Print (Option_t *option="") const override
	Print TNamed name and title.

virtual void	SetName (const char *name)
	Set the name of the TNamed.

virtual void	SetNameTitle (const char name, const char title)
	Set all the TNamed parameters (name and title).

virtual Int_t	Sizeof () const
	Return size of the TNamed part of the TObject.

void	Streamer (TBuffer &) override
	Stream an object of class TObject.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

Public Member Functions inherited from TObject
	TObject ()
	TObject constructor.

	TObject (const TObject &object)
	TObject copy ctor.

virtual	~TObject ()
	TObject destructor.

void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract.

virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad.

ULong_t	CheckedHash ()
	Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object.

virtual const char *	ClassName () const
	Returns name of class to which the object belongs.

virtual void	Delete (Option_t *option="")
	Delete this object.

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Computes distance from point (px,py) to the object.

virtual void	Draw (Option_t *option="")
	Default Draw method for all objects.

virtual void	DrawClass () const
	Draw class inheritance tree of the class to which this object belongs.

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad with: `gROOT->SetSelectedPad(c1)`.

virtual void	Dump () const
	Dump contents of object on stdout.

virtual void	Error (const char method, const char msgfmt,...) const
	Issue error message.

virtual void	Execute (const char method, const char params, Int_t *error=nullptr)
	Execute method on this object with the given parameter string, e.g.

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=nullptr)
	Execute method on this object with parameters stored in the TObjArray.

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	Execute action corresponding to an event at (px,py).

virtual void	Fatal (const char method, const char msgfmt,...) const
	Issue fatal error message.

virtual TObject *	FindObject (const char *name) const
	Must be redefined in derived classes.

virtual TObject *	FindObject (const TObject *obj) const
	Must be redefined in derived classes.

virtual Option_t *	GetDrawOption () const
	Get option used by the graphics system to draw this object.

virtual const char *	GetIconName () const
	Returns mime type name of object.

virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Returns string containing info about the object at position (px,py).

virtual Option_t *	GetOption () const

virtual UInt_t	GetUniqueID () const
	Return the unique object id.

virtual Bool_t	HandleTimer (TTimer *timer)
	Execute action in response of a timer timing out.

Bool_t	HasInconsistentHash () const
	Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e.

virtual void	Info (const char method, const char msgfmt,...) const
	Issue info message.

virtual Bool_t	InheritsFrom (const char *classname) const
	Returns kTRUE if object inherits from class "classname".

virtual Bool_t	InheritsFrom (const TClass *cl) const
	Returns kTRUE if object inherits from TClass cl.

virtual void	Inspect () const
	Dump contents of this object in a graphics canvas.

void	InvertBit (UInt_t f)

Bool_t	IsDestructed () const
	IsDestructed.

virtual Bool_t	IsEqual (const TObject *obj) const
	Default equal comparison (objects are equal if they have the same address in memory).

R__ALWAYS_INLINE Bool_t	IsOnHeap () const

R__ALWAYS_INLINE Bool_t	IsZombie () const

void	MayNotUse (const char *method) const
	Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary).

virtual Bool_t	Notify ()
	This method must be overridden to handle object notification (the base implementation is no-op).

void	Obsolete (const char method, const char asOfVers, const char *removedFromVers) const
	Use this method to declare a method obsolete.

void	operator delete (void *ptr)
	Operator delete.

void	operator delete (void ptr, void vp)
	Only called by placement new when throwing an exception.

void	operator delete[] (void *ptr)
	Operator delete [].

void	operator delete[] (void ptr, void vp)
	Only called by placement new[] when throwing an exception.

void *	operator new (size_t sz)

void *	operator new (size_t sz, void *vp)

void *	operator new[] (size_t sz)

void *	operator new[] (size_t sz, void *vp)

TObject &	operator= (const TObject &rhs)
	TObject assignment operator.

virtual void	Paint (Option_t *option="")
	This method must be overridden if a class wants to paint itself.

virtual void	Pop ()
	Pop on object drawn in a pad to the top of the display list.

virtual Int_t	Read (const char *name)
	Read contents of object with specified name from the current directory.

virtual void	RecursiveRemove (TObject *obj)
	Recursively remove this object from a list.

void	ResetBit (UInt_t f)

virtual void	SaveAs (const char filename="", Option_t option="") const
	Save this object in the file specified by filename.

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save a primitive as a C++ statement(s) on output stream "out".

void	SetBit (UInt_t f)

void	SetBit (UInt_t f, Bool_t set)
	Set or unset the user status bits as specified in f.

virtual void	SetDrawOption (Option_t *option="")
	Set drawing option for object.

virtual void	SetUniqueID (UInt_t uid)
	Set the unique object id.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

virtual void	SysError (const char method, const char msgfmt,...) const
	Issue system error message.

R__ALWAYS_INLINE Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

virtual void	UseCurrentStyle ()
	Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked.

virtual void	Warning (const char method, const char msgfmt,...) const
	Issue warning message.

virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory.

virtual Int_t	Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const
	Write this object to the current directory.

Static Public Member Functions
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

Static Public Member Functions inherited from TNamed
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

Static Public Member Functions inherited from TObject
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

static Longptr_t	GetDtorOnly ()
	Return destructor only flag.

static Bool_t	GetObjectStat ()
	Get status of object stat flag.

static void	SetDtorOnly (void *obj)
	Set destructor only flag.

static void	SetObjectStat (Bool_t stat)
	Turn on/off tracking of objects in the TObjectTable.

Protected Types
enum	{ kNoInt , kValidInt , kInvalidInt }

Protected Types inherited from TObject
enum	{ kOnlyPrepStep = (1ULL << ( 3 )) }

Protected Member Functions
	THnBase ()

	THnBase (const char name, const char title, const std::vector< TAxis > &axes)

	THnBase (const char name, const char title, Int_t dim, const Int_t nbins, const Double_t xmin, const Double_t *xmax)
	Construct a THnBase with "dim" dimensions, "nbins" holds the number of bins for each dimension; "xmin" and "xmax" the minimal and maximal value for each dimension.

	THnBase (const char name, const char title, Int_t dim, const Int_t *nbins, const std::vector< std::vector< double > > &xbins)

	THnBase (const THnBase &other)

	THnBase (THnBase &&other)

void	AddInternal (const THnBase *h, Double_t c, Bool_t rebinned)
	Add() implementation for both rebinned histograms and those with identical binning.

Bool_t	CheckConsistency (const THnBase h, const char tag) const
	Consistency check on (some of) the parameters of two histograms (for operations).

THnBase *	CloneEmpty (const char name, const char title, const TObjArray *axes, Bool_t keepTargetAxis) const
	Create a new THnBase object that is of the same type as *this, but with dimensions and bins given by axes.

TH1 *	CreateHist (const char name, const char title, const TObjArray *axes, Bool_t keepTargetAxis) const
	Create an empty histogram with name and title with a given set of axes.

void	FillBinBase (Double_t w)
	Increment the statistics due to filled weight "w",.

void	Init (const char name, const char title, const TObjArray axes, Bool_t keepTargetAxis, Int_t chunkSize=1024 16)
	Initialize axes and name.

virtual void	InitStorage (Int_t *nbins, Int_t chunkSize)=0

THnBase &	operator= (const THnBase &other)

THnBase &	operator= (THnBase &&other)

Bool_t	PrintBin (Long64_t idx, Int_t coord, Option_t options) const
	Print one bin.

TObject *	ProjectionAny (Int_t ndim, const Int_t dim, Bool_t wantNDim, Option_t option="") const
	Project all bins into a ndim-dimensional THn / THnSparse (whatever *this is) or if (ndim < 4 and !wantNDim) a TH1/2/3 histogram, keeping only axes in dim (specifying ndim dimensions).

THnBase *	RebinBase (const Int_t *group) const
	Combine the content of "group" neighboring bins for each dimension into a new bin and return the resulting THnBase.

THnBase *	RebinBase (Int_t group) const
	Combine the content of "group" neighboring bins into a new bin and return the resulting THnBase.

virtual void	Reserve (Long64_t)

void	ResetBase (Option_t *option="")
	Clear the histogram.

virtual void	SetFilledBins (Long64_t)

void	UpdateXStat (const Double_t *x, Double_t w=1.)

Protected Member Functions inherited from TObject
virtual void	DoError (int level, const char location, const char fmt, va_list va) const
	Interface to ErrorHandler (protected).

void	MakeZombie ()

Static Protected Member Functions
static THnBase *	CreateHnAny (const char name, const char title, const TH1 h1, Bool_t sparse, Int_t chunkSize=1024 16)
	Create a THn / THnSparse object from a histogram deriving from TH1.

static THnBase *	CreateHnAny (const char name, const char title, const THnBase hn, Bool_t sparse, Int_t chunkSize=1024 16)
	Create a THnSparse (if "sparse") or THn from "hn", possibly converting THn <-> THnSparse.

Protected Attributes
TObjArray	fAxes
	Axes of the histogram.

TObjArray	fBrowsables
	! Browser-helpers for each axis

Double_t	fEntries
	Number of entries, spread over chunks.

std::vector< Double_t >	fIntegral
	! vector with bin weight sums

enum THnBase:: { ... }	fIntegralStatus
	! status of integral

Int_t	fNdimensions
	Number of dimensions.

Double_t	fTsumw
	Total sum of weights.

Double_t	fTsumw2
	Total sum of weights squared; -1 if no errors are calculated.

TArrayD	fTsumwx
	Total sum of weight*X for each dimension.

TArrayD	fTsumwx2
	Total sum of weightXX for each dimension.

Protected Attributes inherited from TNamed
TString	fName

TString	fTitle

Friends
class	THnIter

Additional Inherited Members
Public Types inherited from TObject
enum	{ kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff }

enum	{ kSingleKey = (1ULL << ( 0 )) , kOverwrite = (1ULL << ( 1 )) , kWriteDelete = (1ULL << ( 2 )) }

enum	EDeprecatedStatusBits { kObjInCanvas = (1ULL << ( 3 )) }

enum	EStatusBits { kCanDelete = (1ULL << ( 0 )) , kMustCleanup = (1ULL << ( 3 )) , kIsReferenced = (1ULL << ( 4 )) , kHasUUID = (1ULL << ( 5 )) , kCannotPick = (1ULL << ( 6 )) , kNoContextMenu = (1ULL << ( 8 )) , kInvalidObject = (1ULL << ( 13 )) }

#include <THnBase.h>

Inheritance diagram for THnBase:

[legend]

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

protected

Enumerator
kNoInt
kValidInt
kInvalidInt

Definition at line 56 of file THnBase.h.

Constructor & Destructor Documentation

◆ THnBase() [1/6]

THnBase::THnBase ( )

inlineprotected

Definition at line 63 of file THnBase.h.

◆ THnBase() [2/6]

THnBase::THnBase	(	const char *	name,
		const char *	title,
		Int_t	dim,
		const Int_t *	nbins,
		const Double_t *	xmin,
		const Double_t *	xmax
	)

protected

Construct a THnBase with "dim" dimensions, "nbins" holds the number of bins for each dimension; "xmin" and "xmax" the minimal and maximal value for each dimension.

The arrays "xmin" and "xmax" can be NULL; in that case SetBinEdges() must be called for each dimension.

Definition at line 52 of file THnBase.cxx.

◆ THnBase() [3/6]

THnBase::THnBase	(	const char *	name,
		const char *	title,
		const std::vector< TAxis > &	axes
	)

protected

Definition at line 67 of file THnBase.cxx.

◆ THnBase() [4/6]

THnBase::THnBase	(	const char *	name,
		const char *	title,
		Int_t	dim,
		const Int_t *	nbins,
		const std::vector< std::vector< double > > &	xbins
	)

protected

Definition at line 80 of file THnBase.cxx.

◆ THnBase() [5/6]

THnBase::THnBase ( const THnBase & other )

protected

Definition at line 101 of file THnBase.cxx.

◆ THnBase() [6/6]

THnBase::THnBase ( THnBase && other )

protected

Definition at line 141 of file THnBase.cxx.

◆ ~THnBase()

THnBase::~THnBase ( )

override

Destruct a THnBase.

Definition at line 180 of file THnBase.cxx.

Member Function Documentation

◆ Add() [1/2]

void THnBase::Add	(	const TH1 *	hist,
		Double_t	c = `1.`
	)

Fill the THnBase with the bins of hist that have content or error != 0.

Definition at line 480 of file THnBase.cxx.

◆ Add() [2/2]

void THnBase::Add	(	const THnBase *	h,
		Double_t	c = `1.`
	)

Add contents of h scaled by c to this histogram: this = this + c * h Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set.

Definition at line 884 of file THnBase.cxx.

◆ AddBinContent() [1/2]

void THnBase::AddBinContent	(	const Int_t *	x,
		Double_t	v = `1.`
	)

inline

Definition at line 195 of file THnBase.h.

◆ AddBinContent() [2/2]

virtual void THnBase::AddBinContent	(	Long64_t	bin,
		Double_t	v = `1.`
	)

pure virtual

Implemented in THn, and THnSparse.

◆ AddBinError2()

virtual void THnBase::AddBinError2	(	Long64_t	bin,
		Double_t	e2
	)

pure virtual

Implemented in THn, and THnSparse.

◆ AddInternal()

void THnBase::AddInternal	(	const THnBase *	h,
		Double_t	c,
		Bool_t	rebinned
	)

protected

Add() implementation for both rebinned histograms and those with identical binning.

See THnBase::Add().

Definition at line 811 of file THnBase.cxx.

◆ Browse()

void THnBase::Browse ( TBrowser * b )

overridevirtual

Browse a THnSparse: create an entry (ROOT::THnSparseBrowsable) for each dimension.

Reimplemented from TObject.

Definition at line 1595 of file THnBase.cxx.

◆ CalculateErrors()

void THnBase::CalculateErrors ( Bool_t calc = kTRUE )

inline

Calculate errors (or not if "calc" == kFALSE)

Definition at line 148 of file THnBase.h.

◆ CheckConsistency()

Bool_t THnBase::CheckConsistency	(	const THnBase *	h,
		const char *	tag
	)		const

protected

Consistency check on (some of) the parameters of two histograms (for operations).

Definition at line 1175 of file THnBase.cxx.

◆ Class()

static TClass * THnBase::Class ( )

static

Returns: TClass describing this class

◆ Class_Name()

static const char * THnBase::Class_Name ( )

static

Returns: Name of this class

◆ Class_Version()

static constexpr Version_t THnBase::Class_Version ( )

inlinestaticconstexpr

Returns: Version of this class

Definition at line 296 of file THnBase.h.

◆ CloneEmpty()

THnBase * THnBase::CloneEmpty	(	const char *	name,
		const char *	title,
		const TObjArray *	axes,
		Bool_t	keepTargetAxis
	)		const

protected

Create a new THnBase object that is of the same type as *this, but with dimensions and bins given by axes.

If keepTargetAxis is true, the axes will keep their original xmin / xmax, else they will be restricted to the range selected (first / last).

Definition at line 192 of file THnBase.cxx.

◆ ComputeIntegral()

Double_t THnBase::ComputeIntegral ( )

Compute integral (normalized cumulative sum of bins) w/o under/overflows The result is stored in fIntegral and used by the GetRandom functions.

This function is automatically called by GetRandom when the fIntegral array does not exist or when the number of entries in the histogram has changed since the previous call to GetRandom. The resulting integral is normalized to 1.

Returns: 1 if success, 0 if integral is zero

Definition at line 1378 of file THnBase.cxx.

◆ CreateHist()

TH1 * THnBase::CreateHist	(	const char *	name,
		const char *	title,
		const TObjArray *	axes,
		Bool_t	keepTargetAxis
	)		const

protected

Create an empty histogram with name and title with a given set of axes.

Create a TH1D/TH2D/TH3D, depending on the number of elements in axes.

Definition at line 265 of file THnBase.cxx.

◆ CreateHnAny() [1/2]

THnBase * THnBase::CreateHnAny	(	const char *	name,
		const char *	title,
		const TH1 *	h1,
		Bool_t	sparse,
		Int_t	chunkSize = `1024 * 16`
	)

staticprotected

Create a THn / THnSparse object from a histogram deriving from TH1.

Definition at line 336 of file THnBase.cxx.

◆ CreateHnAny() [2/2]

THnBase * THnBase::CreateHnAny	(	const char *	name,
		const char *	title,
		const THnBase *	hn,
		Bool_t	sparse,
		Int_t	chunkSize = `1024 * 16`
	)

staticprotected

Create a THnSparse (if "sparse") or THn from "hn", possibly converting THn <-> THnSparse.

Definition at line 416 of file THnBase.cxx.

◆ CreateIter()

virtual ROOT::Internal::THnBaseBinIter * THnBase::CreateIter ( Bool_t respectAxisRange ) const

pure virtual

Implemented in THn, and THnSparse.

◆ DeclFileName()

static const char * THnBase::DeclFileName ( )

inlinestatic

Returns: Name of the file containing the class declaration

Definition at line 296 of file THnBase.h.

◆ Divide() [1/2]

void THnBase::Divide ( const THnBase * h )

Divide this histogram by h this = this/(h) Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set.

The resulting errors are calculated assuming uncorrelated content.

Definition at line 1036 of file THnBase.cxx.

◆ Divide() [2/2]

void THnBase::Divide	(	const THnBase *	h1,
		const THnBase *	h2,
		Double_t	c1 = `1.`,
		Double_t	c2 = `1.`,
		Option_t *	option = `""`
	)

Replace contents of this histogram by multiplication of h1 by h2 this = (c1*h1)/(c2*h2) Note that if h1 or h2 have Sumw2 set, Sumw2 is automatically called for this if not already set.

The resulting errors are calculated assuming uncorrelated content. However, if option ="B" is specified, Binomial errors are computed. In this case c1 and c2 do not make real sense and they are ignored.

Definition at line 1093 of file THnBase.cxx.

◆ Fill() [1/3]

Long64_t THnBase::Fill	(	const char *	name[],
		Double_t	w = `1.`
	)

inline

Definition at line 159 of file THnBase.h.

◆ Fill() [2/3]

Long64_t THnBase::Fill	(	const Double_t *	x,
		Double_t	w = `1.`
	)

inline

Definition at line 153 of file THnBase.h.

◆ Fill() [3/3]

template<typename... MoreTypes>

Long64_t THnBase::Fill	(	Double_t	firstval,
		MoreTypes...	morevals
	)

inline

Fill with the provided variadic arguments.

The number of arguments must be equal to the number of histogram dimensions or, for weighted fills, to the number of dimensions + 1; in the latter case, the last function argument is used as weight. A separate firstval argument is needed so the compiler does not pick this overload instead of the non-templated Fill overloads

Definition at line 171 of file THnBase.h.

◆ FillBin()

virtual void THnBase::FillBin	(	Long64_t	bin,
		Double_t	w
	)

pure virtual

Implemented in THn, and THnSparse.

◆ FillBinBase()

void THnBase::FillBinBase ( Double_t w )

inlineprotected

Increment the statistics due to filled weight "w",.

Definition at line 93 of file THnBase.h.

◆ Fit()

TFitResultPtr THnBase::Fit	(	TF1 *	f,
		Option_t *	option = `""`,
		Option_t *	goption = `""`
	)

Fit a THnSparse with function f.

since the data is sparse by default a likelihood fit is performed merging all the regions with empty bins for better performance efficiency

Since the THnSparse is not drawn no graphics options are passed Here is the list of possible options

          = "I"  Use integral of function in bin instead of value at bin center
          = "X"  Use chi2 method (default is log-likelihood method)
          = "U"  Use a User specified fitting algorithm (via SetFCN)
          = "Q"  Quiet mode (minimum printing)
          = "V"  Verbose mode (default is between Q and V)
          = "E"  Perform better Errors estimation using Minos technique
          = "B"  Use this option when you want to fix one or more parameters
                 and the fitting function is like "gaus", "expo", "poln", "landau".
          = "M"  More. Improve fit results
          = "R"  Use the Range specified in the function range

Definition at line 518 of file THnBase.cxx.

◆ GetAxis()

TAxis * THnBase::GetAxis ( Int_t dim ) const

inline

Definition at line 134 of file THnBase.h.

◆ GetBin() [1/6]

virtual Long64_t THnBase::GetBin ( const char * name[] ) const

pure virtual

Implemented in THn, and THnSparse.

◆ GetBin() [2/6]

virtual Long64_t THnBase::GetBin	(	const char *	name[],
		Bool_t	= `kTRUE`
	)

pure virtual

Implemented in THnSparse, and THn.

◆ GetBin() [3/6]

virtual Long64_t THnBase::GetBin ( const Double_t * x ) const

pure virtual

Implemented in THn, and THnSparse.

◆ GetBin() [4/6]

virtual Long64_t THnBase::GetBin	(	const Double_t *	x,
		Bool_t	= `kTRUE`
	)

pure virtual

Implemented in THnSparse, and THn.

◆ GetBin() [5/6]

virtual Long64_t THnBase::GetBin ( const Int_t * idx ) const

pure virtual

Implemented in THn, and THnSparse.

◆ GetBin() [6/6]

virtual Long64_t THnBase::GetBin	(	const Int_t *	idx,
		Bool_t	= `kTRUE`
	)

pure virtual

Implemented in THnSparse, and THn.

◆ GetBinCenter()

std::vector< Double_t > THnBase::GetBinCenter ( const std::vector< Int_t > & idx ) const

THnBase::GetBinCenter.

Parameters

idx	an array of bin index in each dimension.

Returns: vector of bin centers in each dimension; empty in case of error.

Note: Throws error if size is different from nDimensions.

See also: GetAxis(dim)::GetBinCenter(idx) as an alternative

Definition at line 547 of file THnBase.cxx.

◆ GetBinContent() [1/2]

Double_t THnBase::GetBinContent ( const Int_t * idx ) const

inline

Definition at line 201 of file THnBase.h.

◆ GetBinContent() [2/2]

virtual Double_t THnBase::GetBinContent	(	Long64_t	bin,
		Int_t *	idx = `nullptr`
	)		const

pure virtual

Implemented in THn, and THnSparse.

◆ GetBinError() [1/2]

Double_t THnBase::GetBinError ( const Int_t * idx ) const

inline

Definition at line 191 of file THnBase.h.

◆ GetBinError() [2/2]

Double_t THnBase::GetBinError ( Long64_t linidx ) const

inline

Definition at line 192 of file THnBase.h.

◆ GetBinError2()

virtual Double_t THnBase::GetBinError2 ( Long64_t linidx ) const

pure virtual

Implemented in THn, and THnSparse.

◆ GetCalculateErrors()

Bool_t THnBase::GetCalculateErrors ( ) const

inline

Definition at line 145 of file THnBase.h.

◆ GetEntries()

Double_t THnBase::GetEntries ( ) const

inline

Definition at line 142 of file THnBase.h.

◆ GetListOfAxes() [1/2]

TObjArray * THnBase::GetListOfAxes ( )

inline

Definition at line 132 of file THnBase.h.

◆ GetListOfAxes() [2/2]

const TObjArray * THnBase::GetListOfAxes ( ) const

inline

Definition at line 133 of file THnBase.h.

◆ GetListOfFunctions()

TList * THnBase::GetListOfFunctions ( )

inline

Definition at line 137 of file THnBase.h.

◆ GetNbins()

virtual Long64_t THnBase::GetNbins ( ) const

pure virtual

Implemented in THn, and THnSparse.

◆ GetNdimensions()

Int_t THnBase::GetNdimensions ( ) const

inline

Definition at line 144 of file THnBase.h.

◆ GetRandom()

void THnBase::GetRandom	(	Double_t *	rand,
		Bool_t	subBinRandom = `kTRUE`
	)

Generate an n-dimensional random tuple based on the histogrammed distribution.

If subBinRandom, the returned tuple will be additionally randomly distributed within the randomized bin, using a flat distribution.

Definition at line 570 of file THnBase.cxx.

◆ GetSumw()

Double_t THnBase::GetSumw ( ) const

inline

Definition at line 217 of file THnBase.h.

◆ GetSumw2()

Double_t THnBase::GetSumw2 ( ) const

inline

Definition at line 218 of file THnBase.h.

◆ GetSumwx()

Double_t THnBase::GetSumwx ( Int_t dim ) const

inline

Definition at line 219 of file THnBase.h.

◆ GetSumwx2()

Double_t THnBase::GetSumwx2 ( Int_t dim ) const

inline

Definition at line 220 of file THnBase.h.

◆ GetWeightSum()

Double_t THnBase::GetWeightSum ( ) const

inline

Definition at line 143 of file THnBase.h.

◆ Init()

void THnBase::Init	(	const char *	name,
		const char *	title,
		const TObjArray *	axes,
		Bool_t	keepTargetAxis,
		Int_t	chunkSize = `1024 * 16`
	)

protected

Initialize axes and name.

Definition at line 208 of file THnBase.cxx.

◆ InitStorage()

virtual void THnBase::InitStorage	(	Int_t *	nbins,
		Int_t	chunkSize
	)

protectedpure virtual

Implemented in THn, and THnSparse.

◆ Integral()

Double_t THnBase::Integral ( Bool_t respectAxisRange ) const

Compute integral (sum of counts) of histogram in all dimensions.

Parameters

respectAxisRange if false, count all bins including under/overflows, if true, restrict sum to the user-set axis range

See also: Projection(0)Integral() as alternative

Note: this function is different from ComputeIntegral, that is a normalized cumulative sum

Definition at line 1358 of file THnBase.cxx.

◆ IsA()

TClass * THnBase::IsA ( ) const

inlineoverridevirtual

Returns: TClass describing current object

Reimplemented from TObject.

Reimplemented in THnT< T >, THnSparse, and THnSparseT< CONT >.

Definition at line 296 of file THnBase.h.

◆ IsFolder()

Bool_t THnBase::IsFolder ( ) const

inlineoverridevirtual

Returns kTRUE in case object contains browsable objects (like containers or lists of other objects).

Reimplemented from TObject.

Definition at line 292 of file THnBase.h.

◆ IsInRange()

Bool_t THnBase::IsInRange ( Int_t * coord ) const

Check whether bin coord is in range, as defined by TAxis::SetRange().

Definition at line 605 of file THnBase.cxx.

◆ Merge()

Long64_t THnBase::Merge ( TCollection * list )

Merge this with a list of THnBase's.

All THnBase's provided in the list must have the same bin layout!

Definition at line 910 of file THnBase.cxx.

◆ Multiply() [1/2]

void THnBase::Multiply ( const THnBase * h )

Multiply this histogram by histogram h this = this * h Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set.

Definition at line 945 of file THnBase.cxx.

◆ Multiply() [2/2]

void THnBase::Multiply	(	TF1 *	f,
		Double_t	c = `1.`
	)

Performs the operation: this = this*c*f1 if errors are defined, errors are also recalculated.

Only bins inside the function range are recomputed. IMPORTANT NOTE: If you intend to use the errors of this histogram later you should call Sumw2 before making this operation. This is particularly important if you fit the histogram after calling Multiply()

Definition at line 993 of file THnBase.cxx.

◆ operator=() [1/2]

THnBase & THnBase::operator= ( const THnBase & other )

protected

Definition at line 114 of file THnBase.cxx.

◆ operator=() [2/2]

THnBase & THnBase::operator= ( THnBase && other )

protected

Definition at line 152 of file THnBase.cxx.

◆ Print()

void THnBase::Print ( Option_t * options = "" ) const

overridevirtual

Print a THnBase.

If "option" contains:

'a': print axis details
'm': print memory usage
's': print statistics
'c': print its content, too (this can generate a LOT of output!) Other options are forwarded to PrintEntries().

Reimplemented from TObject.

Definition at line 1548 of file THnBase.cxx.

◆ PrintBin() [1/3]

void THnBase::PrintBin	(	Int_t *	coord,
		Option_t *	options
	)		const

inline

Definition at line 286 of file THnBase.h.

◆ PrintBin() [2/3]

Bool_t THnBase::PrintBin	(	Long64_t	idx,
		Int_t *	bin,
		Option_t *	options
	)		const

protected

Print one bin.

If "idx" is != -1 use that to determine the bin, otherwise (if "idx" == -1) use the coordinate in "bin". If "options" contains:

'0': only print bins with an error or content != 0 Return whether the bin was printed (depends on options)

Definition at line 1453 of file THnBase.cxx.

◆ PrintBin() [3/3]

void THnBase::PrintBin	(	Long64_t	idx,
		Option_t *	options
	)		const

Print bin with linex index "idx".

For valid options see PrintBin(Long64_t idx, Int_t* bin, Option_t* options).

Definition at line 1439 of file THnBase.cxx.

◆ PrintEntries()

void THnBase::PrintEntries	(	Long64_t	from = `0`,
		Long64_t	howmany = `-1`,
		Option_t *	options = `nullptr`
	)		const

Print "howmany" entries starting at "from".

If "howmany" is -1, print all. If "options" contains:

'x': print in the order of axis bins, i.e. (0,0,...,0), (0,0,...,1),...
'0': only print bins with content != 0

Definition at line 1497 of file THnBase.cxx.

◆ Projection() [1/3]

TH3D * THnBase::Projection	(	Int_t	xDim,
		Int_t	yDim,
		Int_t	zDim,
		Option_t *	option = `""`
	)		const

inline

Project all bins into a 3-dimensional histogram, keeping only axes "xDim", "yDim", and "zDim".

If "option" contains:

"E" errors will be calculated.
"A" ranges of the taget axes will be ignored.
"O" original axis range of the taget axes will be kept, but only bins inside the selected range will be filled.

Definition at line 256 of file THnBase.h.

◆ Projection() [2/3]

TH1D * THnBase::Projection	(	Int_t	xDim,
		Option_t *	option = `""`
	)		const

inline

Project all bins into a 1-dimensional histogram, keeping only axis "xDim".

If "option" contains:

"E" errors will be calculated.
"A" ranges of the taget axes will be ignored.
"O" original axis range of the taget axes will be kept, but only bins inside the selected range will be filled.

Definition at line 230 of file THnBase.h.

◆ Projection() [3/3]

TH2D * THnBase::Projection	(	Int_t	yDim,
		Int_t	xDim,
		Option_t *	option = `""`
	)		const

inline

Project all bins into a 2-dimensional histogram, keeping only axes "xDim" and "yDim".

WARNING: just like TH3::Project3D("yx") and TTree::Draw("y:x"), Projection(y,x) uses the first argument to define the y-axis and the second for the x-axis!

If "option" contains "E" errors will be calculated. "A" ranges of the taget axes will be ignored.

Definition at line 243 of file THnBase.h.

◆ ProjectionAny()

TObject * THnBase::ProjectionAny	(	Int_t	ndim,
		const Int_t *	dim,
		Bool_t	wantNDim,
		Option_t *	option = `""`
	)		const

protected

Project all bins into a ndim-dimensional THn / THnSparse (whatever *this is) or if (ndim < 4 and !wantNDim) a TH1/2/3 histogram, keeping only axes in dim (specifying ndim dimensions).

If "option" contains:

"E" errors will be calculated.
"A" ranges of the target axes will be ignored.
"O" original axis range of the target axes will be kept, but only bins inside the selected range will be filled.

Definition at line 631 of file THnBase.cxx.

◆ ProjectionND()

THnBase * THnBase::ProjectionND	(	Int_t	ndim,
		const Int_t *	dim,
		Option_t *	option = `""`
	)		const

inline

Definition at line 261 of file THnBase.h.

◆ RebinBase() [1/2]

THnBase * THnBase::RebinBase ( const Int_t * group ) const

protected

Combine the content of "group" neighboring bins for each dimension into a new bin and return the resulting THnBase.

For group={2,1,1} and a 3 dimensional histogram, pairs of x-bins will be grouped.

Definition at line 1261 of file THnBase.cxx.

◆ RebinBase() [2/2]

THnBase * THnBase::RebinBase ( Int_t group ) const

protected

Combine the content of "group" neighboring bins into a new bin and return the resulting THnBase.

For group=2 and a 3 dimensional histogram, all "blocks" of 2*2*2 bins will be put into a bin.

Definition at line 1245 of file THnBase.cxx.

◆ RebinnedAdd()

void THnBase::RebinnedAdd	(	const THnBase *	h,
		Double_t	c = `1.`
	)

Add contents of h scaled by c to this histogram: this = this + c * h Note that if h has Sumw2 set, Sumw2 is automatically called for this if not already set.

In contrast to Add(), RebinnedAdd() does not require consistent binning of this and h; instead, each bin's center is used to determine the target bin.

Definition at line 900 of file THnBase.cxx.

◆ Reserve()

virtual void THnBase::Reserve ( Long64_t )

inlineprotectedvirtual

Reimplemented in THnSparse.

Definition at line 108 of file THnBase.h.

◆ Reset()

virtual void THnBase::Reset ( Option_t * option = "" )

pure virtual

Implemented in THn, and THnSparse.

◆ ResetBase()

void THnBase::ResetBase ( Option_t * option = "" )

protected

Clear the histogram.

Definition at line 1340 of file THnBase.cxx.

◆ Scale()

void THnBase::Scale ( Double_t c )

Scale contents and errors of this histogram by c: this = this * c It does not modify the histogram's number of entries.

Definition at line 787 of file THnBase.cxx.

◆ SetBinContent() [1/2]

void THnBase::SetBinContent	(	const Int_t *	idx,
		Double_t	v
	)

inline

Definition at line 211 of file THnBase.h.

◆ SetBinContent() [2/2]

virtual void THnBase::SetBinContent	(	Long64_t	bin,
		Double_t	v
	)

pure virtual

Implemented in THn, and THnSparse.

◆ SetBinEdges()

void THnBase::SetBinEdges	(	Int_t	idim,
		const Double_t *	bins
	)

Set the axis # of bins and bin limits on dimension idim.

Definition at line 1193 of file THnBase.cxx.

◆ SetBinError() [1/2]

void THnBase::SetBinError	(	const Int_t *	idx,
		Double_t	e
	)

inline

Definition at line 193 of file THnBase.h.

◆ SetBinError() [2/2]

void THnBase::SetBinError	(	Long64_t	bin,
		Double_t	e
	)

inline

Definition at line 194 of file THnBase.h.

◆ SetBinError2()

virtual void THnBase::SetBinError2	(	Long64_t	bin,
		Double_t	e2
	)

pure virtual

Implemented in THn, and THnSparse.

◆ SetEntries()

void THnBase::SetEntries ( Double_t entries )

inline

Definition at line 196 of file THnBase.h.

◆ SetFilledBins()

virtual void THnBase::SetFilledBins ( Long64_t )

inlineprotectedvirtual

Reimplemented in THnSparse.

Definition at line 109 of file THnBase.h.

◆ SetTitle()

void THnBase::SetTitle ( const char * title )

overridevirtual

Change (i.e.

set) the title.

If title is in the form "stringt;string0;string1;string2 ..." the histogram title is set to stringt, the title of axis0 to string0, of axis1 to string1, of axis2 to string2, etc, just like it is done for TH1/TH2/TH3. To insert the character ";" in one of the titles, one should use "#;" or "#semicolon".

Reimplemented from TNamed.

Definition at line 1209 of file THnBase.cxx.

◆ Streamer()

void THnBase::Streamer ( TBuffer & R__b )

overridevirtual

Stream an object of class TObject.

Reimplemented from TObject.

Reimplemented in THnT< T >, THnSparse, and THnSparseT< CONT >.

◆ StreamerNVirtual()

void THnBase::StreamerNVirtual ( TBuffer & ClassDef_StreamerNVirtual_b )

inline

Definition at line 296 of file THnBase.h.

◆ Sumw2()

virtual void THnBase::Sumw2 ( )

pure virtual

Implemented in THn, and THnSparse.

◆ UpdateXStat()

void THnBase::UpdateXStat	(	const Double_t *	x,
		Double_t	w = `1.`
	)

inlineprotected

Definition at line 81 of file THnBase.h.

Friends And Related Symbol Documentation

◆ THnIter

friend class THnIter

friend

Definition at line 298 of file THnBase.h.

Member Data Documentation

◆ fAxes

TObjArray THnBase::fAxes

protected

Axes of the histogram.

Definition at line 48 of file THnBase.h.

◆ fBrowsables

TObjArray THnBase::fBrowsables

protected

! Browser-helpers for each axis

Definition at line 49 of file THnBase.h.

◆ fEntries

Double_t THnBase::fEntries

protected

Number of entries, spread over chunks.

Definition at line 50 of file THnBase.h.

◆ fIntegral

std::vector<Double_t> THnBase::fIntegral

protected

! vector with bin weight sums

Definition at line 55 of file THnBase.h.

◆ []

enum { ... } THnBase::fIntegralStatus

! status of integral

◆ fNdimensions

Int_t THnBase::fNdimensions

protected

Number of dimensions.

Definition at line 47 of file THnBase.h.

◆ fTsumw

Double_t THnBase::fTsumw

protected

Total sum of weights.

Definition at line 51 of file THnBase.h.

◆ fTsumw2

Double_t THnBase::fTsumw2

protected

Total sum of weights squared; -1 if no errors are calculated.

Definition at line 52 of file THnBase.h.

◆ fTsumwx

TArrayD THnBase::fTsumwx

protected

Total sum of weight*X for each dimension.

Definition at line 53 of file THnBase.h.

◆ fTsumwx2

TArrayD THnBase::fTsumwx2

protected

Total sum of weight*X*X for each dimension.

Definition at line 54 of file THnBase.h.

Libraries for THnBase:

[legend]

The documentation for this class was generated from the following files:

hist/hist/inc/THnBase.h
hist/hist/src/THnBase.cxx

Public Member Functions

Static Public Member Functions

Protected Types

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Friends

Additional Inherited Members

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ THnBase() [1/6]

◆ THnBase() [2/6]

◆ THnBase() [3/6]

◆ THnBase() [4/6]

◆ THnBase() [5/6]

◆ THnBase() [6/6]

◆ ~THnBase()

Member Function Documentation

◆ Add() [1/2]

◆ Add() [2/2]

◆ AddBinContent() [1/2]

◆ AddBinContent() [2/2]

◆ AddBinError2()

◆ AddInternal()

◆ Browse()

◆ CalculateErrors()

◆ CheckConsistency()

◆ Class()

◆ Class_Name()

◆ Class_Version()

◆ CloneEmpty()

◆ ComputeIntegral()

◆ CreateHist()

◆ CreateHnAny() [1/2]

◆ CreateHnAny() [2/2]

◆ CreateIter()

◆ DeclFileName()

◆ Divide() [1/2]

◆ Divide() [2/2]

◆ Fill() [1/3]

◆ Fill() [2/3]

◆ Fill() [3/3]

◆ FillBin()

◆ FillBinBase()

◆ Fit()

◆ GetAxis()

◆ GetBin() [1/6]

◆ GetBin() [2/6]

◆ GetBin() [3/6]

◆ GetBin() [4/6]

◆ GetBin() [5/6]

◆ GetBin() [6/6]

◆ GetBinCenter()

◆ GetBinContent() [1/2]

◆ GetBinContent() [2/2]

◆ GetBinError() [1/2]

◆ GetBinError() [2/2]

◆ GetBinError2()

◆ GetCalculateErrors()

◆ GetEntries()

◆ GetListOfAxes() [1/2]

◆ GetListOfAxes() [2/2]

◆ GetListOfFunctions()

◆ GetNbins()

◆ GetNdimensions()

◆ GetRandom()

◆ GetSumw()

◆ GetSumw2()

◆ GetSumwx()

◆ GetSumwx2()

◆ GetWeightSum()

◆ Init()

◆ InitStorage()

◆ Integral()

◆ IsA()

◆ IsFolder()

◆ IsInRange()

◆ Merge()

◆ Multiply() [1/2]